On radial solutions for Monge-Ampere equations

被引：6

作者：

Liu, Ronghua ^{[1
]}

Wang, Fanglei ^{[1
]}

An, Yukun ^{[2
]}

机构：

[1] Hohai Univ, Coll Sci, Dept Math, Nanjing, Jiangsu, Peoples R China

[2] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing, Jiangsu, Peoples R China

来源：

TURKISH JOURNAL OF MATHEMATICS | 2018年 / 42卷 / 04期

关键词：

Monge-Ampere equations; radial solution; uniqueness and multiplicity; fixed point theorem; BOUNDARY-VALUE-PROBLEMS; CONVEX SOLUTIONS; EXISTENCE; SYSTEM;

D O I：

10.3906/mat-1708-44

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper,we obtain some new existence, uniqueness, and multiplicity results of radial solutions of an elliptic system coupled by Monge-Ampere equations using the fixed point theorem.

引用

页码：1590 / 1609

页数：20

共 17 条

[1] THE DIRICHLET PROBLEM FOR NONLINEAR 2ND-ORDER ELLIPTIC-EQUATIONS .1. MONGE-AMPERE EQUATION [J].

CAFFARELLI, L ;

NIRENBERG, L ;

SPRUCK, J .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1984, 37 (03) :369-402

[2] Existence of convex solutions for systems of Monge-Ampere equations [J].

Gao, Min ;

Wang, Fanglei .

BOUNDARY VALUE PROBLEMS, 2015,

[3] Classical solutions of singular Monge-Ampere equations in a ball [J].

Goncalves, J ;

Santos, CAP .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 305 (01) :240-252

[4]

Guo D., 1988, NONLINEAR PROBLEMS A

[5]

Gutierrez C., 2000, MONGE AMPERE EQUATIO

[6]

Hu SC, 2006, DISCRETE CONT DYN-A, V16, P705

[7] NONTRIVIAL SOLUTIONS FOR THE EQUATIONS OF MONGE-AMPERE TYPE [J].

KUTEV, ND .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 132 (02) :424-433

[8] Radially symmetric convex solutions for Dirichlet problems of Monge-Ampere equations [J].

Liang, Zaitao ;

Chu, Jifeng .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (12) :3426-3433

[9] 2 REMARKS ON MONGE-AMPERE EQUATIONS [J].

LIONS, PL .

ANNALI DI MATEMATICA PURA ED APPLICATA, 1985, 142 :263-275

[10] Singular boundary value problems for the Monge-Ampere equation [J].

Mohammed, Ahmed .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (01) :457-464

← 1 2 →